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Simplifying -24 = 3(v + -2) + -5v Reorder the terms: -24 = 3(-2 + v) + -5v -24 = (-2 * 3 + v * 3) + -5v -24 = (-6 + 3v) + -5v Combine like terms: 3v + -5v = -2v -24 = -6 + -2v Solving -24 = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -24 + 2v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 -24 + 2v = -6 + 0 -24 + 2v = -6 Add '24' to each side of the equation. -24 + 24 + 2v = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 2v = -6 + 24 2v = -6 + 24 Combine like terms: -6 + 24 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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